384240378456 has 80 divisors (see below), whose sum is σ = 1174067844840. Its totient is φ = 116436476160.

The previous prime is 384240378443. The next prime is 384240378463. The reversal of 384240378456 is 654873042483.

384240378456 is a `hidden beast` number, since 3 + 84 + 2 + 40 + 3 + 78 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26945761 + ... + 26960016.

Almost surely, 2^384240378456 is an apocalyptic number.

384240378456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384240378456 is an abundant number, since it is smaller than the sum of its proper divisors (789827466384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384240378456 is a wasteful number, since it uses less digits than its factorization.

384240378456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53905806 (or 53905793 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 384240378456 in words is "three hundred eighty-four billion, two hundred forty million, three hundred seventy-eight thousand, four hundred fifty-six".